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            "title": "Number of Unique Good Subsequences",
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            "content": "<p>You are given a binary string <code>binary</code>. A <strong>subsequence</strong> of <code>binary</code> is considered <strong>good</strong> if it is <strong>not empty</strong> and has <strong>no leading zeros</strong> (with the exception of <code>&quot;0&quot;</code>).</p>\n\n<p>Find the number of <strong>unique good subsequences</strong> of <code>binary</code>.</p>\n\n<ul>\n\t<li>For example, if <code>binary = &quot;001&quot;</code>, then all the <strong>good</strong> subsequences are <code>[&quot;0&quot;, &quot;0&quot;, &quot;1&quot;]</code>, so the <strong>unique</strong> good subsequences are <code>&quot;0&quot;</code> and <code>&quot;1&quot;</code>. Note that subsequences <code>&quot;00&quot;</code>, <code>&quot;01&quot;</code>, and <code>&quot;001&quot;</code> are not good because they have leading zeros.</li>\n</ul>\n\n<p>Return <em>the number of <strong>unique good subsequences</strong> of </em><code>binary</code>. Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>A <strong>subsequence</strong> is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> binary = &quot;001&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The good subsequences of binary are [&quot;0&quot;, &quot;0&quot;, &quot;1&quot;].\nThe unique good subsequences are &quot;0&quot; and &quot;1&quot;.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> binary = &quot;11&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The good subsequences of binary are [&quot;1&quot;, &quot;1&quot;, &quot;11&quot;].\nThe unique good subsequences are &quot;1&quot; and &quot;11&quot;.</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> binary = &quot;101&quot;\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The good subsequences of binary are [&quot;1&quot;, &quot;0&quot;, &quot;1&quot;, &quot;10&quot;, &quot;11&quot;, &quot;101&quot;]. \nThe unique good subsequences are &quot;0&quot;, &quot;1&quot;, &quot;10&quot;, &quot;11&quot;, and &quot;101&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= binary.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>binary</code> consists of only <code>&#39;0&#39;</code>s and <code>&#39;1&#39;</code>s.</li>\n</ul>\n",
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                "The number of unique good subsequences is equal to the number of unique decimal values there are for all possible subsequences.",
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